On the Prime Ideal Structure of Tensor Products of Algebras

Simple item page
dc.creatorBouchiba, S.
dc.creatorDobbs, D. E.
dc.creatorKabbaj, S.
dc.date2006-06-27
dc.date.accessioned2026-07-07T07:17:45Z
dc.date.available2026-07-07T07:17:45Z
dc.descriptionThis paper is concerned with the prime spectrum of a tensor product of algebras over a field. It seeks necessary and sufficient conditions for such a tensor product to have the S-property, strong S-property, and catenarity. Its main results lead to new examples of stably strong S-rings and universally catenarian rings. The work begins by investigating the minimal prime ideal structure. Throughout, several results on polynomial rings are recovered, and numerous examples are provided to illustrate the scope and sharpness of the results.
dc.description28 pages
dc.identifierhttps://arxiv.org/abs/math/0606689
dc.identifierhttp://arxiv.org/abs/math/0606689
dc.identifierJ. Pure Appl. Algebra 176 (2002) 89-112
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/114051
dc.subjectCommutative Algebra
dc.subjectAlgebraic Geometry
dc.subject13C15; 13B24; 13F05
dc.titleOn the Prime Ideal Structure of Tensor Products of Algebras
dc.typetext

Files

Collections

arXiv